# Research Publications for 1984

## Books

**A1.**
Bray RJ, Loughhead RE and Durrant CJ**:**
*The Solar Granulation.*
2nd edn,
Cambridge University Press,
1984.

**A3.**
Eyland RW (ed.) and others**:**
*Proceedings of the eighth international conference for the psychology of mathematics education.*
International Group for the Psychology of Mathematics Education, Sydney,
1984.

## Chapters in Books

**B1.**
Cannon JJ**:**
An introduction to the group theory language Cayley,
*Computational Group Theory.*
Atkinson MD (ed.),
Academic Press, London,
1984,
145–183.
MR0760656

**B1.**
Ryan AJ**:**
Hilbert modules with reproducing kernels within complex Clifford analysis,
*Mathematical Structures — Computational Mathematics — Mathematical Modelling.*
**2**,
1984,
273–278.
(Invited contribution to a special volume prepared by the Bulgarian Academy of Sciences to honour Academician L. Iliev's 70th birthday)
MR0790893

## Journal Articles

**C1.**
Camina AR and Gagen TM**:**
Block transitive automorphism groups of designs.
*Journal of Algebra*,
86
(1984),
549–554.
MR85h:20007

**C1.**
Cannon JJ and Richardson JS**:**
Cayley — Teaching Group Theory by Computer.
*SIGSAM Bulletin*,
18
(1984),
15–18.
(ICME 5, Adelaide, August 1984)

**C1.**
Chan WL and Lai KF**:**
Dual optimal distributed systems with non-negative controls.
*Journal of Mathematical Analysis and Applications*,
104
(1984),
143–154.
MR86m:49035

**C1.**
Choo KG**:**
Flat modules whose direct powers are flat.
*Bulletin of the Malaysian Mathematical Society*,
7
(1984),
69–76.
MR87a:16042

**C1.**
Choo KG, Teo KL, Clements DJ and Wu ZS**:**
Convergence of a strong variational algorithm for relaxed controls involving a class of hyperbolic systems.
*Journal of Optimisation Theory and Applications*,
42
(1984),
467–485.
MR85e:49033

**C1.**
Dancer EN**:**
Perturbation of zeros in the presence of symmetries.
*Journal of the Australian Mathematical Society*,
(Series A),
36
(1984),
106–125.
MR85g:58027

**C1.**
Dancer EN**:**
Order intervals of self-adjoint linear operators and nonlinear homeomorphisms.
*Pacific Journal of Mathematics*,
115
(1984),
57–72.
MR86c:47086

**C1.**
Dancer EN**:**
Degenerate critical points, homotopy indices and Morse inequalities.
*Journal für die Reine und Angewandte Mathematik*,
350
(1984),
11–22.

**C1.**
Dancer EN**:**
On positive solutions of some pairs of differential equations.
*Transactions of the American Mathematical Society*,
284
(1984),
729–743.
MR85i:35056

**C1.**
Dancer EN**:**
Uniqueness for elliptic equations when a parameter is large.
*Nonlinear Analysis. Theory, Methods and Applications*,
8
(1984),
835–836.

**C1.**
Dimca A**:**
Function germs defined on isolated hypersurfaces singularities.
*Compositio Mathematica*,
53
(1984),
245–258.
MR86a:32027

**C1.**
Dimca A**:**
Are the isolated singularities of complete intersections determined by their singular subspaces?.
*Mathematische Annalen*,
267
(1984),
461–472.
MR85k:32023

**C1.**
Dimca A**:**
Sur les singularités isolées d'intersections complètes.
*Comptes Rendus de l'Académie des Sciences*,
Série I. Mathématique,
299
(1984),
21–24.
MR85f:32037

**C1.**
Dimca A and Rosian R**:**
The Samuel stratification of the discriminant is Whitney regular.
*Geometriæ Dedicata*,
17
(1984),
181–184.
MR0771194

**C1.**
Easdown D**:**
Biordered sets are biordered subsets of idempotents of semigroups.
*Journal of the Australian Mathematical Society*,
(Series A),
37
(1984),
258–268.
MR85i:20067

**C1.**
Easdown D**:**
A new proof that regular biordered sets come from regular semigroups.
*Proceedings of the Royal Society of Edinburgh*,
Section A. Mathematics,
96A
(1984),
109–116.
MR85k:20177

**C1.**
Easdown D**:**
Biordered sets of bands.
*Semigroup Forum*,
29
(1984),
241–246.
MR86a:20075

**C1.**
Easdown D**:**
Biordered sets of eventually regular semigroups.
*Proceedings of the London Mathematical Society*,
Third Series,
49
(1984),
483–503.
MR86a:20076

**C1.**
Easdown D and Hall TE**:**
Reconstructing some idempotent generated semigroups from their biordered sets.
*Semigroup Forum*,
29
(1984),
207–216.
MR86a:20081

**C1.**
Gagen TM**:**
More high preserved mathematics.
*Reflections*,
9
(1984),
8–11.

**C1.**
Galloway DJ**:**
Deux problèmes numériques de la MHD tridimensionelle.
*Comptes Rendus de l'École de Goutelas: Champs Magnétiques Stellaires (Observatoire de Nice)*,
(1984),
325–337.

**C1.**
Galloway DJ and Frisch U**:**
A numerical investigation of magnetic field generation in a flow with chaotic streamlines.
*Geophysical and Astrophysical Fluid Dynamics*,
29
(1984),
13–18.
MR0748371

**C1.**
Gibson WG**:**
Padé approximant method for the statistical thermodynamics of a quantum system. I. General formulation and simple examples.
*Journal of Physics. A. Mathematical and General*,
17
(1984),
1877–1890.
MR85g:82044a

**C1.**
Gibson WG**:**
Padé approximant method for the statistical thermodynamics of a quantum system. II. Quartic anharmonic oscillator.
*Journal of Physics. A. Mathematical and General*,
17
(1984),
1891–1901.
MR85g:82044b

**C1.**
Harding AK, Meszaros P, Kirk JG and Galloway DJ**:**
Self-consistent models for Coulomb-heated X-ray pulsar atmospheres.
*Astrophysical Journal*,
278
(1984),
369–381.

**C1.**
Hickman RC and Monro GP**:**
Distributive partially ordered sets.
*Fundamenta Mathematicae*,
120
(1984),
151–166.
MR86h:06006

**C1.**
Hillman JA**:**
Polynomials determining Dedekind domains.
*Bulletin of the Australian Mathematical Society*,
29
(1984),
167–175.
MR85h:13013

**C1.**
Hillman JA**:**
Links with infinitely many semifree periods are trivial.
*Archiv der Mathematik (Basel)*,
42
(1984),
568–572.
MR86a:57003

**C1.**
Hillman JA**:**
Simple locally flat 3-knots.
*The Bulletin of the London Mathematical Society*,
16
(1984),
599–602.
MR86a:57019

**C1.**
Hillman JA**:**
Factorization of Kojima knots and hyperbolic concordance of Levine pairings.
*Houston Journal of Mathematics*,
10
(1984),
187–194.
MR86i:57024

**C1.**
Howlett RB and Holt DF**:**
On groups which are the product of two Abelian groups.
*Journal of the London Mathematical Society*,
Second Series,
29
(1984),
453–461.
MR86f:20028

**C1.**
Hutchinson TP**:**
Using the bivariate normal distribution to construct probability models in the health sciences.
*Communications in Statistics. Theory and Methods*,
13
(1984),
1723–1733.
MR0742525

**C1.**
Hutchinson TP**:**
Risk in transport. A symposium report.
*Traffic Engineering and Control*,
25
(1984),
330–331.

**C1.**
Ivers DJ and James RW**:**
Axisymmetric antidynamo theorems in compressible non-uniform conducting fluids.
*Philosophical Transactions of the Royal Society of London*,
Series A,
312
(1984),
179–218.
MR85i:86005

**C1.**
Kuo TC**:**
Sur le probleme de l'equisingularité.
*Séminaire sur la Géométrie Algébrique Réelle*,
Publications Mathématiques de l'Université de Paris VII,
(1984),
119–122.

**C1.**
Macaskill C and Ewart TE**:**
Computer simulation of two-dimensional random wave propagation.
*IMA Journal of Applied Mathematics*,
33
(1984),
1–15.

**C1.**
Macaskill C and Ewart TE**:**
The probability distribution of intensity for acoustic propagation in a randomly varying ocean.
*Journal of the Acoustical Society of America*,
76
(1984),
1466–1473.

**C1.**
Madan DB and Seneta E**:**
Compound Poisson models for economic variable movements.
*Sankhyā. The Indian Journal of Statistics*,
Series B,
46
(1984),
174–187.

**C1.**
McMullen JR**:**
The dual object of a compact group.
*Mathematische Zeitschrift*,
185
(1984),
539–552.
MR85c:22010

**C1.**
McMullen JR and Sharp B**:**
A remark on the Littlewood inequality.
*Proceedings of the American Mathematical Society*,
90
(1984),
95–96.
MR86b:43015

**C1.**
Quine MP and Robinson J**:**
Normal approximations to sums of scores based on occupancy numbers.
*The Annals of Probability*,
12
(1984),
794–804.
MR85h:60035

**C1.**
Quine MP and Watson DF**:**
Radial generation of n-dimensional Poisson processes.
*Journal of Applied Probability*,
21
(1984),
548–557.
MR86c:60025

**C1.**
Ryan AJ**:**
Properties of isolated singularities of some functions taking values in real Clifford algebras.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
95
(1984),
277–298.
MR85b:30067

**C1.**
Ryan AJ**:**
Extensions of Clifford analysis to complex, finite, dimensional, associative algebras with identity.
*Proceedings of the Royal Irish Academy*,
84A
(1984),
37–50.
MR86d:30078

**C1.**
Ryan AJ**:**
Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes or real \(n\)-dimensional submanifolds of \(C^{n+1}\).
*Rendiconti del Circolo Matematico di Palermo*,
Serie II. Supplemento,
3
(1984),
249–262.
MR0744391

**C1.**
Seneta E**:**
On the limiting set of non-negative matrix products.
*Statistics and Probability Letters*,
2
(1984),
159–163.
MR85m:15012

**C1.**
Seneta E**:**
The Central Limit problem and linear least squares in pre-revolutionary Russia: the background.
*Mathematical Scientist*,
9
(1984),
37–77.
MR86c:01035

**C1.**
Seneta E**:**
Spectrum localization by ergodicity coefficient for stochastic matrices.
*Linear and Multilinear Algebra*,
14
(1984),
343–347.

**C1.**
Seneta E**:**
Explicit forms for ergodicity coefficients and spectrum localization.
*Linear Algebra and its Applications*,
60
(1984),
187–197.
MR86c:60094

**C1.**
Seneta E**:**
Lewis Carroll as a probabilist and mathematician.
*Mathematical Scientist*,
9
(1984),
79–94.
MR86c:01036

**C1.**
Stefanik R, Ulmscheneider P, Hammer R and Durrant CJ**:**
Non-linear dynamics of stellar atmospheres I.A. computational code.
*Astronomy and Astrophysics*,
134
(1984),
77–90.

**C1.**
Szabo P and Paul GL**:**
Lattice Dynamics of Ionic Crystals.
*Physical Review. A*,
B 29
(1984),
6963–6967.

**C1.**
Weber NC**:**
On resampling techniques for regression models.
*Statistics and Probability Letters*,
2
(1984),
275–278.
MR86d:62118

**C1.**
Wehrhahn KH**:**
Summing finite series.
*Reflections*,
9
(1984),
no.4,
1–14.

## Conference Proceedings

**E1.**
Cannon JJ
(1984)
A computational toolkit for finite permutation groups.
*Proceedings of the Rutgers Group Theory Year, 1983 - 1984*,
Aschbacher M et al (ed.) ,
CUP, New York,
1–18.

**E1.**
Dancer EN
(1984)
Morse inequalities and estimates for the number of solutions of nonlinear equations.
*Miniconference on nonlinear analysis, Centre for Mathematical Analysis Proceedings*,
**8**
MR0799207

**E1.**
Durrant CJ
(1984)
Interpretation of low-resolution observations.
*Small-scale Dynamical Processes in Quiet Stellar Atmospheres*,
Keil SL (ed.) ,
Sacramento Peak Observatory, Sunspot,
345–359.

**E1.**
Durrant CJ
(1984)
Solar active regions-observations and theory.
*Orages Solaires de Type I*,
Bougeret JL, Benz AO eds (ed.) ,
CNRS, Paris,
21–33.

**E1.**
Galloway DJ
(1984)
Magnetoconvection.
*Trends in Physics*,
Janta J, Pantoflíček J (eds) (ed.) ,
Union of Czechoslovak Mathematicians and Physicists,
123–128.
(invited review for Symposium on Non-linear Plasma Astrophysics, 6th General conference of the European Physical Society, Prague, 1984)

**E1.**
Havas G, Kenne PE, Richardson JS and Robertson EF
(1984)
A Tietze transformation program.
*Computational Group Theory (Proceedings of the London Mathematical Society Symposium on Computational Group Theory, Durham, 1982)*,
Atkinson MD (ed.) ,
Academic Press, London
MR0959068

**E1.**
Hutchinson TP
(1984)
Medical statistics on road accident injury in several countries.
*Transport Risk Assessment*,
Yagar S (ed.) ,
University of Waterloo Press,
43–76.
(An earlier version appeared in Čovjek i Promet, 9, 17–30 (1983), under the title "Deaths and injuries in road accidents: Evidence from the mortality and health statistics of several countries")

**E1.**
Kaisig M and Durrant CJ
(1984)
Geometrical effects in weighting functions.
*Small-scale Dynamical Processes in Quiet Stellar Atmospheres*,
Keil SL (ed.) ,
Sacramento Peak Observatory, Sunspot,
406–412.

**E1.**
Kaisig M, Durrant CJ and Schröter EH
(1984)
The asymmetry of photospheric absorption lines in quiet and active regions of the sun.
*Small-scale Dynamical Processes in Quiet Stellar Atmosphere*,
Keil SL (ed.) ,
Sacramento Peak Observatory, Sunspot,
345–359.

**E1.**
Macaskill C and Ewart TE
(1984)
Numerical simulation of wave propagation in a randomly varying medium.
*Proceedings of the International Conference on Developments in Marine Acoustics*,
50–54.
(Sydney, December 1984)

**E1.**
Mack JM
(1984)
External and internal constraints on secondary mathematics curriculum.
*Proc. ICMI-JSME Regional Conference on Mathematical Education, Tokyo*,
Kawaguchi T (ed.) ,
282–286.

**E1.**
Mack JM
(1984)
Mathematics and gifted children.
*Proc. First National Conference on the Education of Gifted and Talented Children, Melbourne*,
309–310.

**E1.**
Nesis A, Durrant CJ and Mattig W
(1984)
Studies in overshoot.
*Small-scale Dynamical Processes in Quiet Stellar Atmospheres*,
Keil SL (ed.) ,
Sacramento Peak Observatory, Sunspot,
345–359.

**E3.**
Gertzenshtein S, Zheligovsky VA, Nikitin N, Rutitsky A, Sukhorukov A and Filyand L
(1984)
On some transient processes in spatial flows with transverse gradient of velocity.
*Abstracts of the International Symposium on laminar-turbulent transition, Novosibirsk*,
1p.

**E3.**
Zheligovsky VA and Shebalin P
(1984)
Computer earthquake catalog, compiled from various sources.
*Abstracts of XIX Assembly of European Seismological Commission*,
Moscow,
1p.

## Unpublished Conference Proceedings

**UN.**
Gibson WG
Hyperspherical harmonics and few-body problems in quantum statistical mechanics.
*Statistical Mechanics Meeting, ANU, Canberra (November, 1984)*
.

**UN.**
Hutchinson TP
Cross-national comparison of the routine collection of data on the nature and severity of injury in road crashes.
*International Workshop on the Methodology of Modelling Road Accident and Injury Patterns, University of Sussex*,
organised by the International Drivers' Behaviour Research Association
.

**UN.**
Hutchinson TP
Nonsense items in multiple-choice tests.
*London Conference of the British Psychological Society, City University*
.

**UN.**
Rees DE
Recent Developments in Polarized Radiative Transfer.
*Past Progress and Future Developments in Solar and Stellar Atmospheric Physics, Ron Giovanelli Commemorative Colloquium (Nov 1984)*
.

**UN.**
Rees DE
Solar-Stellar-Terrestrial Relations.
*IAP Congress, Griffith University (Aug 1984)*,
Invited Review
.